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Finding the Fourth Proportional to 311,193.16, 429,442.45 and 175,240.51

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Solution

The fourth proportional to 311,193.16, 429,442.45 and 175,240.51 is: 241,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,193.16 : 429,442.45 = 175,240.51 : x
  2. Step 2: Convert to fraction form
    311,193.16/429,442.45 = 175,240.51/x
  3. Step 3: Cross multiply
    311,193.16x = 429,442.45 × 175,240.51
  4. Step 4: Simplify right side
    311,193.16x = 75,255,713,953.65
  5. Step 5: Solve for x
    x = 75,255,713,953.65/311,193.16
  6. Step 6: Final answer
    x = 241,829.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.